32087842080 has 384 divisors, whose sum is σ = 121695436800. Its totient is φ = 7096642560.

The previous prime is 32087842079. The next prime is 32087842097. The reversal of 32087842080 is 8024878023.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 5100697 + ... + 5106983.

It is an arithmetic number, because the mean of its divisors is an integer number (316915200).

Almost surely, 2^32087842080 is an apocalyptic number.

32087842080 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 32087842080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (60847718400).

32087842080 is an abundant number, since it is smaller than the sum of its proper divisors (89607594720).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

32087842080 is a wasteful number, since it uses less digits than its factorization.

32087842080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6357 (or 6335 counting only the distinct ones).

The product of its (nonzero) digits is 172032, while the sum is 42.

The spelling of 32087842080 in words is "thirty-two billion, eighty-seven million, eight hundred forty-two thousand, eighty".